842130432
842,130,432 is an even composite number composed of five prime numbers multiplied together.
842130432 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 842130432:
210 × 34 × 11 × 13 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 71)See below for interesting mathematical facts about the number 842130432 from the Numbermatics database.
Names of 842130432
- Cardinal: 842130432 can be written as Eight hundred forty-two million, one hundred thirty thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 8.42130432 × 108
Factors of 842130432
Divisors of 842130432
- Number of divisors d(n): 440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 71 72 78 81 88 96 99 104 108 117 128 132 142 143 144 156 162 176 192 198 208 213 216 234 256 264 284 286 288 297 312 324 351 352 384 396 416 426 429 432 468 512 528 568 572 576 594 624 639 648 702 704 768 781 792 832 852 858 864 891 923 936 1024 1053 1056 1136 1144 1152 1188 1248 1278 1287 1296 1404 1408 1536 1562 1584 1664 1704 1716 1728 1782 1846 1872 1917 2106 2112 2272 2288 2304 2343 2376 2496 2556 2574 2592 2769 2808 2816 3072 3124 3168 3328 3408 3432 3456 3564 3692 3744 3834 3861 4212 4224 4544 4576 4608 4686 4752 4992 5112 5148 5184 5538 5616 5632 5751 6248 6336 6656 6816 6864 6912 7029 7128 7384 7488 7668 7722 8307 8424 8448 9088 9152 9216 9372 9504 9984 10153 10224 10296 10368 11076 11232 11264 11502 11583 12496 12672 13312 13632 13728 13824 14058 14256 14768 14976 15336 15444 16614 16848 16896 18176 18304 18744 19008 19968 20306 20448 20592 20736 21087 22152 22464 23004 23166 24921 24992 25344 27264 27456 27648 28116 28512 29536 29952 30459 30672 30888 33228 33696 33792 36352 36608 37488 38016 39936 40612 40896 41184 41472 42174 44304 44928 46008 46332 49842 49984 50688 54528 54912 56232 57024 59072 59904 60918 61344 61776 63261 66456 67392 72704 73216 74763 74976 76032 81224 81792 82368 82944 84348 88608 89856 91377 92016 92664 99684 99968 101376 109056 109824 112464 114048 118144 119808 121836 122688 123552 126522 132912 134784 146432 149526 149952 152064 162448 163584 164736 168696 177216 179712 182754 184032 185328 199368 199936 218112 219648 224928 228096 236288 243672 245376 247104 253044 265824 269568 274131 299052 299904 304128 324896 327168 329472 337392 354432 359424 365508 368064 370656 398736 399872 439296 449856 456192 472576 487344 490752 494208 506088 531648 539136 548262 598104 599808 649792 654336 658944 674784 708864 731016 736128 741312 797472 799744 822393 899712 912384 945152 974688 981504 988416 1012176 1063296 1078272 1096524 1196208 1199616 1299584 1317888 1349568 1417728 1462032 1472256 1482624 1594944 1644786 1799424 1949376 1963008 1976832 2024352 2126592 2193048 2392416 2399232 2599168 2699136 2835456 2924064 2944512 2965248 3189888 3289572 3598848 3898752 3953664 4048704 4253184 4386096 4784832 5198336 5398272 5848128 5889024 5930496 6379776 6579144 7197696 7797504 8097408 8506368 8772192 9569664 10396672 10796544 11696256 11860992 12759552 13158288 15595008 16194816 17544384 19139328 21593088 23392512 25519104 26316576 31190016 32389632 35088768 38278656 46785024 52633152 64779264 70177536 76557312 93570048 105266304 140355072 210532608 280710144 421065216 842130432
- Sum of all divisors σ(n): 2996021952
- Sum of proper divisors (its aliquot sum) s(n): 2153891520
- 842130432 is an abundant number, because the sum of its proper divisors (2153891520) is greater than itself. Its abundance is 1311761088
Bases of 842130432
- Binary: 1100100011000111100100000000002
- Hexadecimal: 0x3231E400
- Base-36: DXDS00
Squares and roots of 842130432
- 842130432 squared (8421304322) is 709183664500506624
- 842130432 cubed (8421304323) is 597225145753154707487981568
-
The
square root of 842130432 is 29019.4836618435 -
The
cube root of 842130432 is 944.3357993327
Scales and comparisons
How big is 842130432?- 842,130,432 seconds is equal to 26 years, 40 weeks, 2 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 842,130,432 would take you about forty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 842130432 cubic inches would be around 78.7 feet tall.
Recreational maths with 842130432
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